A window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter
of the window is 12 m , find the dimension of the rectangle that will produce the largest area of
the window.
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Answer:
if the dimensions are equal , it will form larger area.
Step-by-step explanation:
we know , perimeter of rectangle = 2(L+B)
so the L+B = 6 ( => 2(l+b) = 12 , l+b = 6 )
therefore, the possible numbers to form this are :-
i) 1+5
ii) 2+4
iii) 3+3
therefore, the area by these ↑ sides are :-
i) 5m²
ii) 8m²
iii) 9m²
therefore, if the length and breadth of that rectangle is 3×3 m² , then it will form the largest possible area .
hope it helped
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